Another well-known instability for the Schnakenberg model is
spike-replication, which occurs when \(A\)  is sufficiently increased. Following
the analysis in [1]}, it can be shown that
self-replication of an \(N\) -ring occurs when \(A\)  is increased past \(A_{r}\) ,
where
\(A_{r}=\sqrt{\frac{1}{\log \varepsilon ^{-1}}}\frac{N}{\left|\Omega _{b}\right|}4.3\cdot 2\pi . \) 
